33838290 has 64 divisors (see below), whose sum is σ = 94176000. Its totient is φ = 8629632.

The previous prime is 33838289. The next prime is 33838303. The reversal of 33838290 is 9283833.

33838290 is a `hidden beast` number, since 338 + 38 + 290 = 666.

It is a super-2 number, since 2×33838290² = 2290059740248200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3486 + ... + 8934.

It is an arithmetic number, because the mean of its divisors is an integer number (1471500).

Almost surely, 2^33838290 is an apocalyptic number.

33838290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33838290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47088000).

33838290 is an abundant number, since it is smaller than the sum of its proper divisors (60337710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33838290 is a wasteful number, since it uses less digits than its factorization.

33838290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 33838290 is about 5817.0688495152. The cubic root of 33838290 is about 323.4467581891.

The spelling of 33838290 in words is "thirty-three million, eight hundred thirty-eight thousand, two hundred ninety".